   Chapter 12.CR, Problem 5CC ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# (a) How can you tell whether the following non degenerate conic is a parabola, an ellipse, or a hyperbola? A x 2 + C y 2 + D x + E y + F = 0 (b) What conic does 3 x 2 − 5 y + 4 x + 5 y − 8 = 0 represent?

To determine

(a)

To explain:

The condition to tell the non degenerate conic is a parabola, an ellipse, or a hyperbola.

Explanation

Given:

The given non degenerate conic is,

Ax2+Cy2+Dx+Ey+F=0(1)

Approach:

Consider the non degenerate conic,

Ax2+Cy2+Dx+Ey+F=0

The graph of the above non degenerate conic is a parabola if either A or C is 0

To determine

(b)

To find:

The conic represented by the expression 3x25y+4x+5y8=0.

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